eli5: does adding infinite to any probability make all outcomes infinite?

213 views

Using something as simple as a coin flip it’s a 50/50 chance that’s it’s either heads or tails if I throw the coin an infinite amount of times both heads and tails will be thrown an infinite amount of times just less infinite than the number of times the coin is thrown.

Let’s say as I throw the coin and a bird fly’s past and grabs the coin out the air the odds of that happening are low but because it’s possible would that automatically make that outcome infinite.

Could infinite also make the impossible, possible like if I throw the coin and try to work out the odds of it turning into a gold bar.

If the universe is infinite there could be a chemical that can teleport and turn the coin into a gold bar the odds would be astronomically low but still possible through the power of infinite or would this break the laws of physics or does the idea of infinite break the laws of physics.

In: 1

6 Answers

Anonymous 0 Comments

Yes, if you have a sequence of independent trials, any event with non-zero probability will happen infinitely many times.

> Could infinite also make the impossible, possible like if I throw the coin and try to work out the odds of it turning into a gold bar.

Maybe, but you have to be careful when going from the mathematical ideal of a 50-50 coin to the laws of real-world physics. There’s a difference between “very unlikely”, “zero probability”, and “impossible” in math, and it’s hard to tell the difference between them when it comes to observations of the physical world.

Your scenario *is* possible, albeit extremely unlikely, under our current understanding of physics, and in fact it’s one theory for how our Universe came to be in the first place. And it would, therefore, happen infinitely many times if you have infinitely many chances for it to happen.

You are viewing 1 out of 6 answers, click here to view all answers.